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Finding the Fourth Proportional to 618,098,688,043.70, 927,148,032,065.55 and 618,098,688,043.70

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Solution

The fourth proportional to 618,098,688,043.70, 927,148,032,065.55 and 618,098,688,043.70 is: 927,148,032,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,098,688,043.70 : 927,148,032,065.55 = 618,098,688,043.70 : x
  2. Step 2: Convert to fraction form
    618,098,688,043.70/927,148,032,065.55 = 618,098,688,043.70/x
  3. Step 3: Cross multiply
    618,098,688,043.70x = 927,148,032,065.55 × 618,098,688,043.70
  4. Step 4: Simplify right side
    618,098,688,043.70x = 573,068,982,242,014,761,320,448
  5. Step 5: Solve for x
    x = 573,068,982,242,014,761,320,448/618,098,688,043.70
  6. Step 6: Final answer
    x = 927,148,032,065.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.